Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.4 - Solving Linear Equations - Exercise Set - Page 50: 18

Answer

x = -4

Work Step by Step

2 - (7x + 5) = 13 - 3x Expand - (7x + 5) = -7x - 5; thus, 2 -7x - 5 = 13 - 3x Combine like terms: -7x + 3x = 13 - 2 + 5 -4x = 16 Divide both sides by -4: x = -4 Check your answer by substituting the value of x= -4 to the original equation: 2 - (7x + 5) = 13 - 3x 2 - (7(-4) + 5) = 13 - 3(-4) 2 - (-28 + 5) = 13 + 12 2 - (-23) = 25 2 + 23 = 25 25 = 25 --> TRUE
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